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cos(x)=(23/50) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
         23
cos(x) = --
         50
$$\cos{\left(x \right)} = \frac{23}{50}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{23}{50}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{23}{50} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{23}{50} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{23}{50} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{23}{50} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
      /23\              /23\
- acos|--| + 2*pi + acos|--|
      \50/              \50/
$$\operatorname{acos}{\left(\frac{23}{50} \right)} + \left(- \operatorname{acos}{\left(\frac{23}{50} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
/      /23\       \     /23\
|- acos|--| + 2*pi|*acos|--|
\      \50/       /     \50/
$$\left(- \operatorname{acos}{\left(\frac{23}{50} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{23}{50} \right)}$$
=
/      /23\       \     /23\
|- acos|--| + 2*pi|*acos|--|
\      \50/       /     \50/
$$\left(- \operatorname{acos}{\left(\frac{23}{50} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{23}{50} \right)}$$
(-acos(23/50) + 2*pi)*acos(23/50)
Respuesta rápida [src]
           /23\       
x1 = - acos|--| + 2*pi
           \50/       
$$x_{1} = - \operatorname{acos}{\left(\frac{23}{50} \right)} + 2 \pi$$
         /23\
x2 = acos|--|
         \50/
$$x_{2} = \operatorname{acos}{\left(\frac{23}{50} \right)}$$
x2 = acos(23/50)
Respuesta numérica [src]
x1 = 38.7919129713535
x2 = -1.09280112827594
x3 = 89.0573954287902
x4 = -19.9423570498147
x5 = 19.9423570498147
x6 = 32.5087276641739
x7 = 51.3582835857126
x8 = 55.4558666363403
x9 = 95.3405807359697
x10 = 24.0399401004424
x11 = -30.323125407622
x12 = 36.6063107148016
x13 = -5.19038417890364
x14 = -7.37598643545553
x15 = 68.0222372506995
x16 = 30.323125407622
x17 = -55.4558666363403
x18 = -57.6414688928922
x19 = -24.0399401004424
x20 = -89.0573954287902
x21 = -51.3582835857126
x22 = 82.7742101216106
x23 = 57.6414688928922
x24 = 76.491024814431
x25 = -32.5087276641739
x26 = 45.075098278533
x27 = -42.8894960219812
x28 = -99.4381637865974
x29 = -36.6063107148016
x30 = -61.7390519435199
x31 = 42.8894960219812
x32 = -26.2255423569943
x33 = -80.5886078650587
x34 = -17.7567547932628
x35 = 93.1549784794178
x36 = 99.4381637865974
x37 = -74.3054225578791
x38 = -86.8717931722383
x39 = 13.6591717426351
x40 = 26.2255423569943
x41 = 49.1726813291607
x42 = -70.2078395072514
x43 = 61.7390519435199
x44 = -95.3405807359697
x45 = 11.4735694860832
x46 = -63.9246542000718
x47 = 86.8717931722383
x48 = 74.3054225578791
x49 = 80.5886078650587
x50 = 1.09280112827594
x51 = -38.7919129713535
x52 = 5.19038417890364
x53 = 70.2078395072514
x54 = -13.6591717426351
x55 = -68.0222372506995
x56 = -11.4735694860832
x57 = -76.491024814431
x58 = 7.37598643545553
x59 = 63.9246542000718
x60 = 17.7567547932628
x61 = -82.7742101216106
x62 = -93.1549784794178
x63 = -49.1726813291607
x64 = -45.075098278533
x64 = -45.075098278533